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Simplifying 5z + -7 = 8z + -4z Reorder the terms: -7 + 5z = 8z + -4z Combine like terms: 8z + -4z = 4z -7 + 5z = 4z Solving -7 + 5z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -7 + 5z + -4z = 4z + -4z Combine like terms: 5z + -4z = 1z -7 + 1z = 4z + -4z Combine like terms: 4z + -4z = 0 -7 + 1z = 0 Add '7' to each side of the equation. -7 + 7 + 1z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1z = 0 + 7 1z = 0 + 7 Combine like terms: 0 + 7 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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